Answer:
[tex] \huge{ \boxed{ \sf{ {x}^{2} - x + 18}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \text{Given}}: [/tex]
[tex] \sf{f(x) = {x}^{2} +9 \: and \: g(x) = x-9}[/tex]
[tex] \underline{ \text{To \: find}} : \sf{ \: f(x) \: - \: g(x)}[/tex]
Put the values:
[tex] \mapsto{ \sf{ {x}^{2} + 9 - ( x - 9)}}[/tex]
While subtracting , sign of each term of the second expression changes.
[tex] \mapsto{ \sf{ {x}^{2} + 9 - x + 9}}[/tex]
Add the numbers : 9 and 9
[tex] \mapsto{ \boxed{ \sf{{x}^{2} - x + 18}}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
